Worksheet on Linear Equations



Practice worksheet on linear equations in one variable. Students can recall the lesson and practice the equations step-by-step and then try to represent the solution of the linear equation graphically.



1. Solve each of the following equations and represent the solution graphically.

  (a) 7x + 2 = -19

  (b) 3x - 1/3 = 5

  (c) 5x - 4 = 21

  (d) -7x = 21

  (e) 18 - 7x = -3

  (f) 3(x + 4) = 21

  (g) 2x/3 - 3x/5 = 8

  (h) 3x - 9 = 5x - 3

  (i) 3(x - 3) = 4(2x + 1)


2. Solve each of the following equations and check your solution by substituting in the equation.

  (a) 3x/2 - 10 = 1/2

  (b) x/2 - x/3 = 8

  (c) 6x - 9 - 2(1 - x) = x + 9

  (d) 2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

  (e) (2 - y)/(y + 7) = 3/5

  (f) (3x + 2)/(2x - 3) = - 3/2

  (g) (x - 8 )/3 = (x - 3)/5

  (h) 0.25(4y - 3) = 0.5y - 9


Answers for the worksheet on linear equations in one variable are given below so that students can check the exact answers after solving the equations.

Answers:

1. (a) -3

  (b) 17/9

  (c) 5

  (d) -3

  (e) 3

  (f) 3

  (g) 120

  (h) -3

  (i) -23/5

2. (a) 7

  (b) 48

  (c) 20/7

  (d) 49/5

  (e) -11/8

  (f) 5/12

  (g) 31/2

  (h) -16.5



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